Find dy/dx for y= 4^(lnx)

Step-by-step explanation:

Take natural log of both sides:

Use power rule of logarithms:

Let's differentiate.

I applied chain rule on the left side and I apply constant multiple rule to the right side.

Let's multiply both sides by :

We started with so let's make that replacement:

Let's simplify it a bit:

dy/dx = (4^lnx)(ln4)/x

Step-by-step explanation:

lny = (lnx)ln4

(1/y)y' = (ln4)/x

y' = y(ln4)/x

y' = (4^lnx)(ln4)/x

4/6 = 2/3

so it should take 3/3 hours per man. so 9 hours is the answer 3*3 =9

step-by-step explanation:

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step-by-step explanation: